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99902712 = 233713149307
BaseRepresentation
bin1011111010001…
…10010011111000
320221222120202110
411331012103320
5201033341322
613525132320
72322105360
oct575062370
9227876673
1099902712
1151435428
122955a0a0
131790b440
14d3a79a0
158b85c0c
hex5f464f8

99902712 has 128 divisors (see below), whose sum is σ = 310464000. Its totient is φ = 26085888.

The previous prime is 99902653. The next prime is 99902771. The reversal of 99902712 is 21720999.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (99902653) and next prime (99902771).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325263 + ... + 325569.

It is an arithmetic number, because the mean of its divisors is an integer number (2425500).

Almost surely, 299902712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99902712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155232000).

99902712 is an abundant number, since it is smaller than the sum of its proper divisors (210561288).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

99902712 is a wasteful number, since it uses less digits than its factorization.

99902712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 485 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 39.

The square root of 99902712 is about 9995.1344163048. The cubic root of 99902712 is about 464.0083108896.

The spelling of 99902712 in words is "ninety-nine million, nine hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 149 156 168 182 273 298 307 312 364 447 546 596 614 728 894 921 1043 1092 1192 1228 1788 1842 1937 2086 2149 2184 2456 3129 3576 3684 3874 3991 4172 4298 5811 6258 6447 7368 7748 7982 8344 8596 11622 11973 12516 12894 13559 15496 15964 17192 23244 23946 25032 25788 27118 27937 31928 40677 45743 46488 47892 51576 54236 55874 81354 83811 91486 95784 108472 111748 137229 162708 167622 182972 223496 274458 320201 325416 335244 365944 548916 594659 640402 670488 960603 1097832 1189318 1280804 1783977 1921206 2378636 2561608 3567954 3842412 4162613 4757272 7135908 7684824 8325226 12487839 14271816 16650452 24975678 33300904 49951356 99902712